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Heterogeneous Materials - Diffusion, Laplace spectrum and NMR

Matias Nordin (Institutionen för kemi- och bioteknik, Teknisk ytkemi ; SuMo Biomaterials)
Göteborg : Chalmers University of Technology, 2011. - 66 s.
[Licentiatavhandling]

Relations to the effective diffusion constant and the relaxation rate of the time-dependent diffusion coefficient for porous systems are derived from the Laplace operator spectrum. The Padé approximation is then explained in terms of the Laplace operator spectrum. The calculations are made in a finite difference scheme with Neumann conditions defining the boundaries and validated by comparison with Brownian motion simulations. The relation between the surface-to-pore volume and the Laplace spectrum is also discussed. Furthermore, a new perturbation method to solve the diffusion equation is presented. The method is formulated on the boundaries and the computational complexity is estimated to be O(s^2) for s number of boundary points. The method is applied on diffusion NMR.

Nyckelord: heterogeneous materials, diffusion, laplace operator, perturbation, spectrum, nmr



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Denna post skapades 2011-04-28. Senast ändrad 2016-04-04.
CPL Pubid: 139934

 

Institutioner (Chalmers)

Institutionen för kemi- och bioteknik, Teknisk ytkemi (2005-2014)
SuMo Biomaterials

Ämnesområden

Materialvetenskap
Algebra och geometri
Fysikalisk kemi

Chalmers infrastruktur

Relaterade publikationer

Inkluderade delarbeten:


Deriving time-dependent diffusion and relaxation rate in porous systems using eigenfunctions of the Laplace operator


Denna publikation ingår i:


Heterogeneous Materials - Diffusion, Laplace Spectrum, and Nuclear Magnetic Resonance


Examination

Datum: 2011-05-18
Tid: 10:00
Lokal: 10:an, Kemigården 4, Chalmers University of Technology

Ingår i serie

Thesis for the degree of licentiate of engineering - Department of Chemistry and Bioscience/Organic Chemistry, Chalmers University of Technology